Absence of the absolutely continuous spectrum of a first-order non-selfadjoint Dirac-like system for slowly decaying perturbations

DOI10.1007/S11512-005-0013-2zbMath1169.34058OpenAlexW1990474441MaRDI QIDQ1005725

Roman Romanov, Marco Marlettta

Publication date: 9 March 2009

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-005-0013-2

zbMATH Keywords

absolutely continuous spectrumnon-selfadjoint operatorDirac system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05)

Cites Work

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• Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
• Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials.
• SELFADJOINT DILATION OF THE DISSIPATIVE SCHRÖDINGER OPERATOR AND ITS RESOLUTION IN TERMS OF EIGENFUNCTIONS

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